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A material is required for a cheap column with a solid circular cross-section that must support a load F* without buckling. It is to have a height L . Write down an equation for the material cost of the column in terms of its dimensions, the price per kg of the material, Cm , and the material density (rho) .The cross-section area A is a free variable: eliminate it by using the constraint that the buckling load must not be less than F crit (equation 5.9). Hence read off the index for ?nding the cheapest tie. Plot the index on a copy of the appropriate chart and identify three possible candidates
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Assume they test null hypothesis H0: versus H1: Will the engineers decide to use the steel if H0 is rejected? Will the engineers decide to use the steel if H0 is not rejected?
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